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Effectus [21]
3 years ago
6

In a local kickball league, the ratio of college graduates with a graduate degree to non-college graduates is 1:8, and the ratio

of college graduates without a graduate degree to non-college graduates is 2:3. If one random college graduate is picked, what is the probability that they hold a graduate degree
Mathematics
1 answer:
qaws [65]3 years ago
8 0

Answer:

3 / 19

Step-by-step explanation:

Given the following :

ratio of college graduates with a graduate degree to non-college graduates = 1:8

ratio of college graduates without a graduate degree to non-college graduates is 2:3

If college graduate with a degree = A

College graduate without a degree = B

Non-college graduate = C

College graduate to non college graduate = A:C

College graduate without degree to non college graduate = B:C

A:C = 1:8 - - - (1) ; B:C = 2:3 - - - (2)

Combining the two ratios :

To do so : the proportion of non college graduate should be the same in both ratios

To do this, multiply (1) by 3 and (2) by 8

A:C = 3 : 24

B:C = 16 : 24

combining both, we have :

A:B:C = 3:16:24

If one random college graduate is picked, what is the probability that they hold a graduate degree?

Total proportion of college graduate : (college graduates with degree + college graduates without degree)

A + B = (3 + 16) = 19

Proportion who hold a graduate degree = A = 3

Probability = require outcome / Total possible outcomes

Thus :

P = A / (A +B)

= 3/19

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SCORPION-xisa [38]
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The next step is to do 180-100 to get the other angle.
180-100 = 80

So the measure of the third angle is 80˚

Hope this helps!

(Also if you want to do this in one equation, you would do 40+60+x = 180
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7 0
3 years ago
A Hexagonal pyramid is located on top of a hexagonal prism. How many vertices are there?
Scrat [10]

For a better understanding of the answer given here, please go through the diagram in the attached file.

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6+6+1=13

3 0
3 years ago
In the diagram below, a right circular cone with a radius of 3 inches has a slant height of 5 inches, and a right cylinder with
Westkost [7]

this is the correct answer

5 0
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Seven less than three-fifths times a number is less than or equal to eighteen. Which inequality BEST represents this situation?
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5 0
3 years ago
Read 2 more answers
Listed below are the salaries, in $000, for a sample of 15 chief financial officers in the electronics industry.
Tcecarenko [31]

Answer:

a)

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Mean = 8130/15 = 542

Median:

The median is also the number that is halfway into the set.

For median, we need to sort the data and then find the middle number which in our case is 546. Below is the sorted data

486  516 523  523  529  534  538  546  548  551  552  558  566  574  586

Standard Deviation (SD).  Here X represents dataset and N= count of numbers in data

As per the SD formula, which is Sqrt ( sum (X_i - Meanx(X))/(N-1))

SD= 25.082

2) Formula for coefficient of skewness using Pearson's method (using median) is,

SK = 3* ( Mean (X) - Median(X))/(Standard Deviation) =  3*(542-546)/25.082 = -0.325

3) coefficient of skewness using the software method is also same which is -0.325

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